SOLUTION: Be certain you have solved for both variables in the system of equations. Solve the following systems of equations algebraically. Show your work. 5x-y=-5 3x-5y=-3

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Question 123139: Be certain you have solved for both variables in the system of equations.

Solve the following systems of equations algebraically. Show your work.

5x-y=-5
3x-5y=-3
Answer by MathLover1(6634) About Me  (Show Source):
You can put this solution on YOUR website!

5x-y=-5+.................(1)
3x-5y=-3.................(2)
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5x-y=-5+.................(1).......solve for y

5x+%2B+5=+y..........substitute in (2) and solve (2) for x
3x-+5%285x+%2B+5%29=-3
3x+-25x+-+25+=-3
+-22x+=+-3%2B25
+-22x+=+22
+x+=+22%2F-22+

+x+=+-1


now find y
y+=+5x+%2B+5..........
y+=+5%28-1%29+%2B+5..........
y+=+-5%2B+5..........
y+=+0..........
check:

5%28-1%29-+0=+-5+.................(1)

-5+=+-5+

3%28-1%29-+5%280%29+=+-3 .................(2)
-3+=+-3